CONSTRUCTIVE METHOD FOR SOLVING OF ONE CLASS OF CURVILINEAR INTEGRAL EQUATIONS OF THE FIRST KIND

A new method for the construction of a quadrature formula for the normal derivative of the double-layer potential is developed and a method for calculating the approximate solution of the integral equation of the first kind for Dirichlet boundary value problems for the Helmholtz equation in the two-dimensional space is presented in this work.

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Publication Details

Journal
Eurasian Mathematical Journal
Published
2025-01-01
DOI
https://doi.org/10.32523/2077-9879-2025-16-1-32-48
Primary Topic
Iterative Methods for Nonlinear Equations
Type
article
Field-Weighted Citation Impact
0.00

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article

CONSTRUCTIVE METHOD FOR SOLVING OF ONE CLASS OF CURVILINEAR INTEGRAL EQUATIONS OF THE FIRST KIND

Elnur Khalilov
Eurasian Mathematical Journal
Iterative Methods for Nonlinear Equations
article

CONSTRUCTIVE METHOD FOR SOLVING OF ONE CLASS OF CURVILINEAR INTEGRAL EQUATIONS OF THE FIRST KIND

Elnur Khalilov
article en

Abstract

A new method for the construction of a quadrature formula for the normal derivative of the double-layer potential is developed and a method for calculating the approximate solution of the integral equation of the first kind for Dirichlet boundary value problems for the Helmholtz equation in the two-dimensional space is presented in this work.

Eurasian Mathematical JournalVol. 16(1)
Università degli Studi di Padova, RUDN University
Sustainable cities and communities
Openalex Percentile: Top 80%
Iterative Methods for Nonlinear Equations
DOIOpen Access PDFOpenAlex
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CONSTRUCTIVE METHOD FOR SOLVING OF ONE CLASS OF CURVILINEAR INTEGRAL EQUATIONS OF THE FIRST KIND — Elnur Khalilov · Eurasian Mathematical Journal (2025) | TGRS Research Map | TGRS